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Finding the Fourth Proportional to 4,469.32, 6,168.66 and 2,813

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Solution

The fourth proportional to 4,469.32, 6,168.66 and 2,813 is: 3,882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.32 : 6,168.66 = 2,813 : x
  2. Step 2: Convert to fraction form
    4,469.32/6,168.66 = 2,813/x
  3. Step 3: Cross multiply
    4,469.32x = 6,168.66 × 2,813
  4. Step 4: Simplify right side
    4,469.32x = 17,352,440.58
  5. Step 5: Solve for x
    x = 17,352,440.58/4,469.32
  6. Step 6: Final answer
    x = 3,882.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.